Question: Develop an M-file to solve a system of ODEs with Eulers method. Design the M-file so that it creates a plot of the results. Test

Develop an M-file to solve a system of ODEs with Euler’s method. Design the M-file so that it creates a plot of the results. Test your program by using it to solve Prob. 22.7 with a step size of 0.25.

Data From Problem 22.7

Solve the following pair of ODEs over the interval from t = 0 to 0.4 using a step size of 0.1. The initial conditions are y(0) = 2 and z(0) = 4. Obtain your solution with

(a) Euler’s method and

(b) The fourth-order RK method. Display your results as a plot.

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